Acceleration due to gravity question?

AI Thread Summary
To determine how far an object falls in a given time under gravity, use the equation y = yo + vot - 1/2gt^2, where g is the acceleration due to gravity (9.81 m/s^2). The initial velocity in the x direction does not influence the vertical motion. The equation simplifies to y = -1/2gt^2 when starting from an initial height of zero. This approach effectively calculates the vertical displacement due to gravity over time. Understanding the independence of horizontal and vertical motions is key in solving 2-dimensional projectile problems.
jbgibson
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If I know the acceleration of gravity (9.81m/s^2), and I'm given an initial velocity in the positive x direction, how would I go about figuring how far will an object fall in a given time?

I think this a 2-dimension projectile, but I don't see how to solve. If y=yo+vot-1/2gt^2, then y=-1/2gt^2. Any help is greatly appreciated!
 
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The velocity in the x direction won't affect the velocity in the y direction. All you need is that first equation.
 

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